Question

a construction company poured a cylindrical shaped concrete column 15 feet long with a radius of 3 feet. How much concrete did it take to make the column, in terms of π?

Answer 1

The volume of a cylinder with radius r and height h is

`V=\pi hr^2`

in your case, the radius is 3 and the height is 15, so we have

`V=\pi\cdot 15 \cdot 3^2=135\pi`

Answer 2

The volume of cylinder in terms of π is
`135\pi` cubic feet

Step-by-step explanation:

Given the radius of the cylindrical shaped concrete column is 3 feet

Height of the column is 15 feet

The volume of a cylinder is calculated by the formula;

V =
`\pi r^2h`, where

r is the radius and h is the height

Substituting the values,

V =
`\pi * (3)2* (15)`

V =
`\pi * 9* 15`

`V = \pi * 135\\V = 135\pi`

Hence, the volume of cylinder in terms of π is
`135\pi` cubic feet